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A. Mehra and D. Bhatia, “Optimality and Duality for Minmax Problems Involving Arcwise Connected and Generalized Arcwise Connected Functions,” Journal of Mathematical Analysis and Applications, Vol. 231, No. 2, 1999, pp. 425-445. doi:10.1006/jmaa.1998.6231

has been cited by the following article:

• TITLE: Optimality for Multi-Objective Programming Involving Arcwise Connected d-Type-I Functions

  AUTHORS: Guolin Yu, Min Wang

  KEYWORDS: Multi-Objective Programming, Pareto Efficient Solution, Arcwise Connected d-Type-I Functions, Optimality Conditions, Duality

  JOURNAL NAME: American Journal of Operations Research, Vol.1 No.4, December 5, 2011

  ABSTRACT: This paper deals with the optimality conditions and dual theory of multi-objective programming problems involving generalized convexity. New classes of generalized type-I functions are introduced for arcwise connected functions, and examples are given to show the existence of these functions. By utilizing the new concepts, several sufficient optimality conditions and Mond-Weir type duality results are proposed for non-differentiable multi-objective programming problem.